Described is a method for producing a multicoat color and/or effect paint system. A pigmented aqueous basecoat material is used which comprises at least one phosphite of the formula (I): wherein at least one of the radicals R1 to R3 is selected from the group of aliphatic hydrocarbons. The sum total of the weight percentage fractions of all of the phosphites of structural formula (I) here is 0.1% to 5% by weight, based on the total weight of the basecoat material used. Moreover, described are the corresponding basecoat materials, the corresponding multicoat color and/or effect paint system, and the use of the phosphites in pigmented aqueous coating materials. Also described is a method for repairing defects on multicoat color and/or effect paint systems produced with the aid of the above-identified method of the invention.